Practice Page
Directions: Read carefully.

1.
a) How many lines of symmetry does a square possess?
Choose:
1
2
3
4

b) What is the minimum angle of rotation about the center that will carry a square onto itself?
Choose:
45º
90º
135º
180º

 

 

2.
a) The figure at the right has one, and only one, line of symmetry.
Choose:
TRUE
FALSE
 
b) Which quadrilateral has one, and only one, line of symmetry?
Choose:
rectangle
isosceles trapezoid
square
parallelogram

 

 

3.
a) The figure at the right has no line symmetry, but has rotational symmetry of 180º.
Choose:
TRUE
FALSE


b) Which quadrilateral has no line symmetry, but has rotational symmetry of 180º (Order 2)?
Choose:
rectangle
parallelogram
trapezoid kite

 

 

4.
a) Which of the following figures has a minimum rotational symmetry of 120º (Order 3)?
Choose:
square
parallelogram
pentagon
equilateral triangle

b) What is the other angle between 0º and 360º of rotational symmetry of the object described in part a?
Choose:
60º
120º
180º
240º

 

 

5.
a) In a regular hexagon, what is the angle of rotation?
Choose:
120º
 90º 60º 30º

b) In a regular hexagon, how many angles between 0º and 360º will carry the polygon onto itself?
Choose:
4
 5 6 7

 
c) What counterclockwise angle of rotation about point P will carry point F onto point D?
Choose:
60º
 120º 180º 240º

 

 

6.
The car wheel shown at the right has both line and rotational symmetry.
a) State the number of lines of symmetry. Choose:
6
 5 3 4

b) State the degree measure of the angle of rotation.
Choose:
120º
 90º 72º 60º

wheel

 

 

7.
A segment equal in length to the radius of a circle is repeated around the circle, forming chords from end to end. Two repetitions of the segment are shown at the right.
a) How many segments will be able to be placed in this manner around the circle?
Choose:
8
7
6
5
cymcircle
  

b) What will be the angle of rotation of the figure formed by the repetition of the segment?
Choose:
45º
60º
72º
120º

 

 

8.
ΔABC is an isosceles triangle with
AC = BC.
What is the equation of the line of symmetry of this triangle?

Choose:
y = 4
x = 4
y = x + 4
y = x + 2
symtrianglegrid

 

 

9.
ABCD is a square. The grid pattern in the interior of the square forms a series of small squares.
a) How many lines of symmetry will ABCD possess, including the internal grid pattern?
Choose:
1
 2 0 4
sympattern

b) Under rotational symmetry, what is the angle of rotation of ABCD, including the internal grid pattern?
Choose:
60º
 90º 120º 180º

 

 

10.
ΔABC is an equilateral triangle. The triangles in the interior of ΔABC are also equilateral triangles.

Which of the following statements is true regarding this entire diagram?
symtripattern
Choose:
It has line reflection, and rotational symmetry of 120º.
It has line reflection, but no rotational symmetry.
It has no line reflection, but has rotational symmetry of 120º.
It has no line reflection, and no rotational symmetry.

 

 

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